Question

quadrilateral abcd has vertices at a(2,3), b(8,4), c(12,2), and d(6,2). find the coordinates of the image of point b after a 180° rotation about the origin.

Explanation:

Step1: Recall rotation - 180° formula

The formula for a 180° rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Identify coordinates of point B

The coordinates of point B are $(8,4)$.

Step3: Apply the rotation formula

For point B with $x = 8$ and $y = 4$, after rotation, $x$ becomes $-8$ and $y$ becomes $-4$.

Answer:

$(-8,-4)$